265961920 has 112 divisors (see below), whose sum is σ = 743590080. Its totient is φ = 88694784.

The previous prime is 265961909. The next prime is 265961933. The reversal of 265961920 is 29169562.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81276 + ... + 84484.

Almost surely, 2^265961920 is an apocalyptic number.

265961920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371795040).

265961920 is an abundant number, since it is smaller than the sum of its proper divisors (477628160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

265961920 is a wasteful number, since it uses less digits than its factorization.

265961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 265961920 is about 16308.3389712135. The cubic root of 265961920 is about 643.0920683066.

The spelling of 265961920 in words is "two hundred sixty-five million, nine hundred sixty-one thousand, nine hundred twenty".